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Finding the Fourth Proportional to 196,023, 294,034.50 and 85,215

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Solution

The fourth proportional to 196,023, 294,034.50 and 85,215 is: 127,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,023 : 294,034.50 = 85,215 : x
  2. Step 2: Convert to fraction form
    196,023/294,034.50 = 85,215/x
  3. Step 3: Cross multiply
    196,023x = 294,034.50 × 85,215
  4. Step 4: Simplify right side
    196,023x = 25,056,149,917.50
  5. Step 5: Solve for x
    x = 25,056,149,917.50/196,023
  6. Step 6: Final answer
    x = 127,822.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.